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Finding the Fourth Proportional to 410,547.74, 566,554.76 and 229,258.20

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Solution

The fourth proportional to 410,547.74, 566,554.76 and 229,258.20 is: 316,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,547.74 : 566,554.76 = 229,258.20 : x
  2. Step 2: Convert to fraction form
    410,547.74/566,554.76 = 229,258.20/x
  3. Step 3: Cross multiply
    410,547.74x = 566,554.76 × 229,258.20
  4. Step 4: Simplify right side
    410,547.74x = 129,887,324,479.03
  5. Step 5: Solve for x
    x = 129,887,324,479.03/410,547.74
  6. Step 6: Final answer
    x = 316,375.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.